Probability With or Without Replacement

A fair coin is tossed four times. What is the probability that the first two times it comes up heads and the last two times it comes up tails?

A fair coin is tossed three times. What is the probability that the first time it comes up heads and the next two times it comes up tails?

A fair coin is tossed five times and comes up heads three times and tails two times. What is the probability it will come up tails if tossed one more time?

An urn contains 2 orange marbles and 5 blue marbles. A marble is drawn at random and replaced. Then a second marble is drawn. What is the probability that the first marble is orange and the second marble is blue?

An urn contains 6 purple marbles and 4 pink marbles. A marble is drawn at random and not replaced. Then a second marble is drawn. What is the probability that both marbles are purple?

A fair coin is tossed three times. What is the probability that the first two tossed come up tails and the third toss comes up heads?

An urn contains 4 purple marbles and 3 pink marbles. Two marbles are drawn at random. What is the probability that both marbles are purple if drawn with replacement?

An urn contains 4 purple marbles and 3 pink marbles. Two marbles are drawn at random. What is the probability that both marbles are purple if drawn without replacement?

An urn contains 5 orange marbles and 6 blue marbles. Two marbles are drawn at random. What is the probability that the first marble is orange and the second marble is blue if the marbles are drawn with replacement?

An urn contains 5 orange marbles and 6 blue marbles. Two marbles are drawn at random. What is the probability that the first marble is orange and the second marble is blue if the marbles are drawn without replacement?